8540271840 has 192 divisors, whose sum is σ = 27851765760. Its totient is φ = 2197432320.

The previous prime is 8540271811. The next prime is 8540271869. The reversal of 8540271840 is 481720458.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8540271811) and next prime (8540271869).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6948346 + ... + 6949574.

It is an arithmetic number, because the mean of its divisors is an integer number (145061280).

Almost surely, 2^8540271840 is an apocalyptic number.

8540271840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8540271840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13925882880).

8540271840 is an abundant number, since it is smaller than the sum of its proper divisors (19311493920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8540271840 is a wasteful number, since it uses less digits than its factorization.

8540271840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 8540271840 is about 92413.5912082200. The cubic root of 8540271840 is about 2044.0455283254.

The spelling of 8540271840 in words is "eight billion, five hundred forty million, two hundred seventy-one thousand, eight hundred forty".